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Prove each of the following identities :...

Prove each of the following identities :
`(i) (1- tan^(2) theta)/(1+ tan^(2) theta) = ( cos^(2) theta - sin^(2) theta) `
`(ii) (1- tan^(2) theta)/(cot^(2) -1) = tan^(2) theta `

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RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Exercise 13A
  1. Prove each of the following identities : (tan theta)/((1+ tan^(2) t...

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  2. Prove each of the following identities : (i) sin^(6) theta + cos^(6...

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  3. Prove each of the following identities : (i) (1- tan^(2) theta)/(1+ ...

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  4. Prove each of the following identities : (i) (tan theta)/((sec theta...

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  5. Prove each of the following identities : (i) (sec theta -1)/(sec the...

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  6. Prove each of the following identities : (i) sqrt((1+ sin theta)/(1-...

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  7. Prove each of the following identities : (cos^(3) theta + sin^(3) th...

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  8. Prove each of the following identities : (sin theta)/((cot theta + "...

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  9. Prove each of the following identities : (i) (sin theta - cos theta)...

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  10. Prove each of the following identities : (1+ cos theta - sin^(2) th...

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  11. Prove each of the following identities : (i) ("cosec"theta + cot the...

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  12. Prove each of the following identities : (i) (1+ cos theta + sin the...

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  13. Prove that (sin theta)/(sec theta+tan theta-1)+cos theta/(cosec theta+...

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  14. Prove each of the following identities : (sin theta + cos theta)/(s...

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  15. (cos theta cosec theta-sin theta sec theta)/(cos theta+sin theta)=cose...

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  16. Prove each of the following identities : (1+ tan theta + cot theta )...

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  17. What will be the value of following identities : (cot^(2) theta (sec...

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  18. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

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  19. Prove each of the following identities : ((sin A - sin B))/((cos A ...

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  20. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

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